Statistics - math word problems - page 33 of 46
Number of problems found: 920
- HP - harmonic progression
Determine the 10th term of the harmonic progression 6,4,3,… - Probability
In a batch of 500 products, there are 10 defective items. In a statistical inspection, 40 products are selected at random from the batch without replacement. The batch is considered satisfactory if there is at most one defective product among the 40 inspe - The chief
The chief fisherman, Peter, estimates that if he uses four lines, then the probability of making a catch on one line is 0.7. If he uses five lines, then the probability of making a catch on any line is 0.6. If he uses six lines, the probability of making - Random variable distribution
The distribution of the random variable X is given in the following table. Calculate P[X is odd], E[X] and P[1<X≤6] Probability distribution table: xi; 1; 2; 3 ; 4; 5; 6; 7; 8; 9 pi; 0.30; 0.12; 0.18; 0.10; 0.07; 0.07; 0.06; 0.05; 0.05 - Reservoir pump filling
The reservoir is filled with the first pump in 30 hours, the second in 24 hours, and the third in 20 hours. How long does it take to fill the reservoir if all pumps are switched on simultaneously? - Water current speed.
Two cities along the river are 100 km apart. The powerboat downstream runs for 4 hours, upstream for 10 hours. Determines the river's current speed. - Source failure probability
I have 3 sources, and their failure probability is 0.1. Calculate the probability that: a) none will have a malfunction b) 1 will have a breakdown c) at least 1 will have a fault d) they will all have a breakdown - Blueberries
Marie earns 2.2 liters of blueberries for 1 hours, and Peter 2.5 liters for 1.5 hours. How long do they pick one liter together? - There
There is 5 l of water with a temperature of 20 °C in the bucket. We add 3 liters of hot water. The resulting temperature will be 30 °C. What was the temperature of the hot water? - Two Inlets Fill Time
The water tank is filled with the first inflow in one hour and 10 minutes and the second in 60 minutes. How many minutes will the tank be half-filled with both inlets if the second outlet is opened 12 minutes later? - Three pumps
The water tank is emptied with the first pump in 6 hours and with the second pump in 2 hours. All three pumps had to be started at once to be emptied in 1 hour. How long will it take to empty the tank with only the third pump? - Machines
There are three machines in the workshop. The first treats 280 parts for 3.7 hours, the second treats 460 parts for 2.7 hours, and the third treats 550 parts for 3.6 hours. How long will it take to make 2440 parts if all three machines are worked simultan - Instantaneous water heater
Water flows into and out of an instant water heater simultaneously. If water only flows in, the empty heater would be filled in 18 minutes. If water only flows out, the full heater would be emptied in 20 minutes. How many minutes will it take to fill the - Dice
We threw ten times playing dice. What is the probability that the six will fall exactly four times? - Company meadow mowing
The K+S company will mow the meadow in ten hours. The Kosačka company mows the meadow in six hours. How many hours would these companies mow one such meadow if they worked together? - Athletic competition
In a 400-meter athletic competition, a participant covers the distance given below. Find the average speed. first 80 meters 10 m/s next 240 meters 7.5 m/s last 80 meters 10 m/s - Bricklayers
When a bricklayer works to redeem the house in 8 days, the other bricklayer will be finished in 10 days. How long will it take to make three such houses together? - The pool
The pool contains 220 m³ of water. Workers can empty the pool either: a) 10 hours of pipe B and 8 hours of pipe A, or b) 10 hours of pipe A and 7 hours of pipe B. How many cubic meters of water will flow in 1 hour from pipe A, and how many from pipe B? - Two pumps
The first pump fills the tank in 24 hours, and the second pump fills the tank in another 40 hours. How long will it take to fill the tank if it operates both pumps simultaneously? - The dam
The water reservoir is filled with the first tributary for 25 hours and the second tributary for 35 hours. Sometimes, both inlets open, then a second tributary closed, and they filled the tank in four hours. What time does water flow from both tributaries
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